laplace_band.cc
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#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "torus.icc"
int main (int argc, char**argv) {
environment rheolef(argc, argv);
geo lambda (argv[1]);
size_t d = lambda.dimension();
space Xh (lambda, "P1");
field phi_h = interpolate(Xh, phi);
band gamma_h (phi_h);
field phi_h_band = phi_h [gamma_h.band()];
space Bh (gamma_h.band(), "P1");
Bh.block ("isolated");
Bh.unblock ("zero");
trial u (Bh); test v (Bh);
form a = integrate (gamma_h, dot(grad_s(u),grad_s(v)));
field c = integrate (gamma_h, v);
field lh = integrate (gamma_h, f(d)*v);
vector<field> b (gamma_h.n_connected_component());
vector<Float> z (gamma_h.n_connected_component(), 0);
for (size_t i = 0; i < b.size(); i++) {
const domain& cci = gamma_h.band() ["cc"+itos(i)];
field phi_h_cci (Bh, 0);
phi_h_cci [cci] = phi_h_band [cci];
b[i] = phi_h_cci;
}
form A = {{ a, trans(b), c },
{ b, 0, 0 },
{ trans(c), 0, 0 }};
field Fh = { lh, z, 0 };
field Uh (Fh.get_space(), 0);
A.set_symmetry(true);
problem pa (A);
pa.solve (Fh, Uh);
dout << catchmark("phi") << phi_h
<< catchmark("u") << Uh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
band
see the band page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: laplace_band.cc:29
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.f
int f
Definition: mkgeo_ball.sh:221
mkgeo_ball.c
int c
Definition: mkgeo_ball.sh:153
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
rheolef::details::dot
rheolef::details::is_vec dot
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::grad_s
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:929
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
lambda
Definition: yield_slip_circle.h:34
phi
Definition: phi.h:25
u
Definition: leveque.h:25
torus.icc
The torus benchmark – level set, right-hand-side and exact solution.
u
Float u(const point &x)
Definition: transmission_error.cc:26